A Multinomial Experiment with K = 4 Cells and N $\quad$

Essay

A multinomial experiment with k = 4 cells and n = 300 produced the data shown in the following table. $\quad$ $\quad$ $\quad$$\text { Cell }$
$\begin{array}{r|rrrr} & 1 & 2 & 3 & 4 \\\hline n_{i} & 65 & 69 & 80 & 86\end{array}$
Do these data provide sufficient evidence to contradict the null hypothesis that $p _ { 1 } = .20 , p _ { 2 } = .20 , p _ { 3 } = .30$ , and $p _ { 4 } = .30$ ? Test using $\alpha = .05$ .